College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Concept explainers

Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, fo…
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**Problem Statement:** The velocity of an object traveling in one dimension is given by the function: \[ v(t) = -3.50t^2 + 1.70t - 2 \] where \( t \) is in seconds and \( v \) is in m/s. **Question:** Does the object speed up, slow down, or momentarily stop at \( t = 2.00 \) s? Show why/why not.
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Transcribed Image Text:**Problem Statement:** The velocity of an object traveling in one dimension is given by the function: \[ v(t) = -3.50t^2 + 1.70t - 2 \] where \( t \) is in seconds and \( v \) is in m/s. **Question:** Does the object speed up, slow down, or momentarily stop at \( t = 2.00 \) s? Show why/why not.
**Problem Statement:** Vectors \(\vec{A}\) and \(\vec{B}\) are pictured in the coordinate system below. Find the magnitude and direction (clearly define your angle!) of \(\vec{A} - 2\vec{B}\). *Note: Please refer to the graph or diagram provided in the coordinate system to analyze vectors \(\vec{A}\) and \(\vec{B}\) for solving the problem.* **Explanation:** - **Coordinate System:** The coordinate system should depict the vectors \(\vec{A}\) and \(\vec{B}\) with their respective magnitudes and directions. - **Vector Operation:** You are tasked to compute \(\vec{A} - 2\vec{B}\), which involves finding vectors after scaling and subtraction. - **Magnitude Calculation:** Use the Pythagorean theorem or vector magnitude formula to find the length of the resultant vector. - **Direction Calculation:** Clearly define the angle of the resultant vector with reference to a fixed axis, usually the positive x-axis, using trigonometric functions. Make sure to understand how these vectors interact in the given diagram to solve effectively.
expand button
Transcribed Image Text:**Problem Statement:** Vectors \(\vec{A}\) and \(\vec{B}\) are pictured in the coordinate system below. Find the magnitude and direction (clearly define your angle!) of \(\vec{A} - 2\vec{B}\). *Note: Please refer to the graph or diagram provided in the coordinate system to analyze vectors \(\vec{A}\) and \(\vec{B}\) for solving the problem.* **Explanation:** - **Coordinate System:** The coordinate system should depict the vectors \(\vec{A}\) and \(\vec{B}\) with their respective magnitudes and directions. - **Vector Operation:** You are tasked to compute \(\vec{A} - 2\vec{B}\), which involves finding vectors after scaling and subtraction. - **Magnitude Calculation:** Use the Pythagorean theorem or vector magnitude formula to find the length of the resultant vector. - **Direction Calculation:** Clearly define the angle of the resultant vector with reference to a fixed axis, usually the positive x-axis, using trigonometric functions. Make sure to understand how these vectors interact in the given diagram to solve effectively.
Expert Solution
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Step 1

Velocity is rate of change of distance . it is measured in m/s.

Velocity of an object travelling in one direction is given by 

vt=-3.50t2+1.70t-2

GIVEN 

t=2.00 s

 

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